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The volume of a rectangular swimming pool is 840 cubic meter

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The volume of a rectangular swimming pool is 840 cubic meter [#permalink] New post 26 Oct 2010, 12:53
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A
B
C
D
E

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Question Stats:

85% (01:52) correct 15% (01:16) wrong based on 78 sessions
The volume of a rectangular swimming pool is 840 cubic meters and water is flowing into the swimming pool. If the surface level of the water is rising at the rate of 0.5 meters per minute, what is the rate, in cubic meters per minutes, at which the water is flowing into the swimming pool?

A. 0.125
B. 0.25
C. 0.5
D. 0.75
E. Not enough information to determine the rate
[Reveal] Spoiler: OA
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Re: Problem solving : rate [#permalink] New post 26 Oct 2010, 14:22
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The correct answer is E.
There are not enough info to answer the question.
A 840 cubic meters rectangle is built from: height*length*width.
From the question we know the volume of the pool and the filling rate.
A pool can have a a height of 10*width8.4*length10 and have a volume of 840 cubic meters, and it can have a height of 1 meter, width of 100 meters and length of 8.4. In both cases the pool will fill up in a different rate.
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Re: Problem solving : rate [#permalink] New post 27 Oct 2010, 09:29
I can only get H ... so Info is not sufficient
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Re: Problem solving : rate [#permalink] New post 21 Oct 2013, 12:04
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Re: The volume of a rectangular swimming pool is 840 cubic meter [#permalink] New post 21 Oct 2013, 15:35
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tatane90 wrote:
The volume of a rectangular swimming pool is 840 cubic meters and water is flowing into the swimming pool. If the surface level of the water is rising at the rate of 0.5 meters per minute, what is the rate, in cubic meters per minutes, at which the water is flowing into the swimming pool?

A. 0.125
B. 0.25
C. 0.5
D. 0.75
E. Not enough information to determine the rate


A qualitative approach to this one would be to imagine a 1 meter by 1 meter opening that's 840 meters deep. How much water is flowing in to raise the water level 0.5 meters per minute?

Then imagine a giant 40 meter by 21 meter pool that's only 1 meter deep. How much water does it take to raise the water level in that pool 0.5 meters? Put another way, how long will it take to fill if you raise the water level 0.5 meters per minute?

Since one pool fills in 2 minutes and the other takes... quite a bit longer... but they both have the same volume, you know you need more information.
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Re: The volume of a rectangular swimming pool is 840 cubic meter   [#permalink] 21 Oct 2013, 15:35
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